Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 824, 238, 212, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 238, 212, 167 is 1
GCD(824, 238, 212, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 238, 212, 167 is 1
GCD(824, 238, 212, 167) = 1
Given Input numbers are 824, 238, 212, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 824, 238, 212, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 238, 212, 167 is 1.
Therefore, GCD of numbers 824, 238, 212, 167 is 1
Given Input Data is 824, 238, 212, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 167 is 167
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(824, 238) = 98056
GCD(824, 238) = ( 824 x 238 ) / 98056
GCD(824, 238) = 196112 / 98056
GCD(824, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
GCD(2, 212) = 424 / 212
GCD(2, 212) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 167) = 334
GCD(2, 167) = ( 2 x 167 ) / 334
GCD(2, 167) = 334 / 334
GCD(2, 167) = 1
GCD of 824, 238, 212, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 238, 212, 167?
GCD of 824, 238, 212, 167 is 1
2. Where do I get the detailed procedure to find GCD of 824, 238, 212, 167?
You can find a detailed procedure to find GCD of 824, 238, 212, 167 on our page.
3. How to find GCD of 824, 238, 212, 167 on a calculator?
You can find the GCD of 824, 238, 212, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.